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The document provides a structured set of problems, followed by a comprehensive answer key that details the step-by-step mathematical reasoning for each calculation. By demonstrating how to decompose shapes into their individual faces and calculate the area of each, this resource aids in developing essential spatial and geometric competency. The examples cover diverse units of measurement such as centimeters, inches, and meters, ensuring students gain proficiency in applying surface area formulas across different contexts and shapes. It serves as an effective learning assessment tool for students to verify their understanding of geometric surface properties through clear, systematic, and pedagogical guided practice.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/surface-area-cubes-prisms-and-pyramids-1-practice-worksheet/638273/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/surface-area-cubes-prisms-and-pyramids-1-practice-worksheet/638273.png","ImageObject",300,407,{"name":92,"@type":93},"dawugda","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you calculate the surface area of a cube with a side length of 11 inches?","Question",{"text":112,"@type":113},"To calculate the surface area of a cube, multiply the area of one face (11 x 11 = 121 sq in) by the total number of faces (6), resulting in 726 square inches.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the surface area of the square-based pyramid with a base side of 6m and a slant height of 7m?",{"text":117,"@type":113},"The surface area is calculated by adding the area of the square base (6 x 6 = 36 sq m) to the sum of the four triangular faces (4 x [½ x 6 x 7] = 84 sq m), totaling 120 square meters.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the method for finding the surface area of a rectangular prism?",{"text":121,"@type":113},"The surface area is found by identifying the three pairs of congruent rectangular faces, calculating the area for one of each pair, and then multiplying the sum by two, or adding all individual face areas together.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},638273,1793018646,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},3985747870947,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name Date  \nSURFACE AREA CUBES, PRISMS & PYRAMIDS 1  \nFind the surface areas of these shapes.  \n| 1) | \u003Cbr>8 cm\u003Cbr>4 cm\u003Cbr>5 cm |  | Surface area |\n| --- | --- | --- | --- |\n| 2) Surface area |  |  |  |\n| 11 in |  | |  |\n| 3) | |  | Surface area |\n| 4) | |  | Surface area |\n\nName Date  \nSURFACE AREA CUBES, PRISMS & PYRAMIDS 1 ANSWERS  \n| 1) 8 cm\u003Cbr>4 cm\u003Cbr>5 cm |  |  | Surface area\u003Cbr>Face 1: 8 x 5 = 40 cm2\u003Cbr>Face 2: 8 x 4 = 32 cm2\u003Cbr>Face 3: 5 x 4 = 20 cm2\u003Cbr>Surface area = 2 x 40 + 2 x 32 + 2 x 20 = 80 + 64 + 40 = 184 cm2 |\n| --- | --- | --- | --- |\n| 2)\u003Cbr>11 in |  | | Surface area\u003Cbr>Face 1: 11 x 11 = 121 cm2\u003Cbr>Surface area = 121 x 6 = 726 cm2 |\n| 3) |  | | Surface area\u003Cbr>Face 1: 20 x 10 = 200 in2\u003Cbr>Face 2: 20 x 12 = 240 in2\u003Cbr>Face 3: ½ x 12 x 8 = 48 in 2\u003Cbr>Surface area = 2 x 200 + 240 + 2 x 48 = 400 + 240 + 96 = 736 in2 |\n| 4) | |  | Surface area\u003Cbr>Square Face: 6 x 6 = 36 m2\u003Cbr>Triangular face: ½ x 6 x 7 = 21 m2 Surface area = 36 + 4 x 21\u003Cbr>= 36 + 84 = 120 m2 |","cbCaim6gCGnDz031","https://ap.wps.com/l/cbCaim6gCGnDz031","pdf",156606,"English","# Calculation Exercises\n## Surface Area of Cubes and Prisms\n## Surface Area of Pyramids\n# Answer Key and Solutions","[{\"question\":\"How do you calculate the surface area of a cube with a side length of 11 inches?\",\"answer\":\"To calculate the surface area of a cube, multiply the area of one face (11 x 11 = 121 sq in) by the total number of faces (6), resulting in 726 square inches.\"},{\"question\":\"What is the surface area of the square-based pyramid with a base side of 6m and a slant height of 7m?\",\"answer\":\"The surface area is calculated by adding the area of the square base (6 x 6 = 36 sq m) to the sum of the four triangular faces (4 x [½ x 6 x 7] = 84 sq m), totaling 120 square meters.\"},{\"question\":\"What is the method for finding the surface area of a rectangular prism?\",\"answer\":\"The surface area is found by identifying the three pairs of congruent rectangular faces, calculating the area for one of each pair, and then multiplying the sum by two, or adding all individual face areas together.\"}]","Surface Area - Cubes, Prisms and Pyramids 1 - Practice Worksheet | PDF",1792682529]